What is the Least Common Multiple of 42448 and 42456?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 42448 and 42456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42448 and 42456, than apply into the LCM equation.

GCF(42448,42456) = 8
LCM(42448,42456) = ( 42448 × 42456) / 8
LCM(42448,42456) = 1802172288 / 8
LCM(42448,42456) = 225271536

Least Common Multiple (LCM) of 42448 and 42456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42448 and 42456. First we will calculate the prime factors of 42448 and 42456.

Prime Factorization of 42448

Prime Factorization of 42456

Now multiplying the highest exponent prime factors to calculate the LCM of 42448 and 42456.

LCM(42448,42456) = 2⁴ × 7¹ × 379¹ × 3¹ × 29¹ × 61¹
LCM(42448,42456) = 225271536